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Finding the Fourth Proportional to 2,641.26, 3,962.01 and 910.14

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Solution

The fourth proportional to 2,641.26, 3,962.01 and 910.14 is: 1,365.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.26 : 3,962.01 = 910.14 : x
  2. Step 2: Convert to fraction form
    2,641.26/3,962.01 = 910.14/x
  3. Step 3: Cross multiply
    2,641.26x = 3,962.01 × 910.14
  4. Step 4: Simplify right side
    2,641.26x = 3,605,983.78
  5. Step 5: Solve for x
    x = 3,605,983.78/2,641.26
  6. Step 6: Final answer
    x = 1,365.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.